On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate

This paper investigates a new mathematical SQIR model for COVID-19 by means of four dimensions; susceptible, quarantine, infected and recovered (SQIR) via Non-linear Saturated Incidence Rate. First of all the model is formulated in the form of differential equations. Disease-free, endemic equilibriu...

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Autores principales: Algehyne, Ebrahem A., Din, Rahim ud
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7457920/
http://dx.doi.org/10.1016/j.aej.2020.08.040
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author Algehyne, Ebrahem A.
Din, Rahim ud
author_facet Algehyne, Ebrahem A.
Din, Rahim ud
author_sort Algehyne, Ebrahem A.
collection PubMed
description This paper investigates a new mathematical SQIR model for COVID-19 by means of four dimensions; susceptible, quarantine, infected and recovered (SQIR) via Non-linear Saturated Incidence Rate. First of all the model is formulated in the form of differential equations. Disease-free, endemic equilibriums and Basic Reproduction Number are found for the said model. Local Stability is analyzed through Jacobean Matrix while Lyapunov Function is constructed for the study of Global Stability of the Model. Using nonstandard finite difference method, numerical results are simulated. By Simulation, we mean how protection, exposure, death and cure rates affect the Susceptible, Quarantined, Infected and recovered population with the passage of time.
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spelling pubmed-74579202020-09-01 On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate Algehyne, Ebrahem A. Din, Rahim ud Alexandria Engineering Journal Article This paper investigates a new mathematical SQIR model for COVID-19 by means of four dimensions; susceptible, quarantine, infected and recovered (SQIR) via Non-linear Saturated Incidence Rate. First of all the model is formulated in the form of differential equations. Disease-free, endemic equilibriums and Basic Reproduction Number are found for the said model. Local Stability is analyzed through Jacobean Matrix while Lyapunov Function is constructed for the study of Global Stability of the Model. Using nonstandard finite difference method, numerical results are simulated. By Simulation, we mean how protection, exposure, death and cure rates affect the Susceptible, Quarantined, Infected and recovered population with the passage of time. The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. 2021-02 2020-08-31 /pmc/articles/PMC7457920/ http://dx.doi.org/10.1016/j.aej.2020.08.040 Text en © 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. Since January 2020 Elsevier has created a COVID-19 resource centre with free information in English and Mandarin on the novel coronavirus COVID-19. The COVID-19 resource centre is hosted on Elsevier Connect, the company's public news and information website. Elsevier hereby grants permission to make all its COVID-19-related research that is available on the COVID-19 resource centre - including this research content - immediately available in PubMed Central and other publicly funded repositories, such as the WHO COVID database with rights for unrestricted research re-use and analyses in any form or by any means with acknowledgement of the original source. These permissions are granted for free by Elsevier for as long as the COVID-19 resource centre remains active.
spellingShingle Article
Algehyne, Ebrahem A.
Din, Rahim ud
On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate
title On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate
title_full On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate
title_fullStr On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate
title_full_unstemmed On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate
title_short On global dynamics of COVID-19 by using SQIR type model under non-linear saturated incidence rate
title_sort on global dynamics of covid-19 by using sqir type model under non-linear saturated incidence rate
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7457920/
http://dx.doi.org/10.1016/j.aej.2020.08.040
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